3442961700 has 90 divisors (see below), whose sum is σ = 11160747906. Its totient is φ = 918120960.

The previous prime is 3442961699. The next prime is 3442961719. The reversal of 3442961700 is 71692443.

3442961700 is a `hidden beast` number, since 34 + 4 + 2 + 9 + 617 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 495774756 + 2947186944 = 22266^2 + 54288^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 204429 + ... + 220628.

Almost surely, 2^3442961700 is an apocalyptic number.

3442961700 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3442961700 is an abundant number, since it is smaller than the sum of its proper divisors (7717786206).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3442961700 is a wasteful number, since it uses less digits than its factorization.

3442961700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425083 (or 425067 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 3442961700 is about 58676.7560453030. The cubic root of 3442961700 is about 1510.0015642573.

The spelling of 3442961700 in words is "three billion, four hundred forty-two million, nine hundred sixty-one thousand, seven hundred".